Cremona's table of elliptic curves

690 = 2 · 3 · 5 · 23

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 23-	Signs for the Atkin-Lehner involutions
Conductor	690	Conductor
Count	2	Number of curves in isogeny class
Curves	690i1 690i2	Curves in isogeny class
deg	240	Modular degree for the optimal curve
Eigenvalues	2- 3- 5+  0  2  0  6  4	Hecke eigenvalues for primes less than 20
L	2.7680260466756	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	5520l 22080t 2070g 3450a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 690i

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	-	+	0	2	0	6	4	-	0	-8	-6	-2	-2	4	-2	0	-2	-2	-10	-10	0	-4	4	16

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Quadratic twists for isogeny class 690i

-4	8	-3	5	-7	-11	13	-23
5520l	22080t	2070g	3450a	33810cn	83490v	116610bi	15870bk

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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